scholarly journals State-Feedback Control for Fractional-Order Nonlinear Systems Subject to Input Saturation

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Junhai Luo
Keyword(s):  
Feedback Control ◽  
Nonlinear Systems ◽  
Fractional Order ◽  
State Feedback ◽  
Control Method ◽  
Input Saturation ◽  
State Feedback Control ◽  
Sufficient Condition ◽  
Feedback Control Method ◽  
Linear State

We give a state-feedback control method for fractional-order nonlinear systems subject to input saturation. First, a sufficient condition is derived for the asymptotical stability of a class of fractional-order nonlinear systems. Then based on Gronwall-Bellman lemma and a sector bounded condition of the saturation function, a linear state-feed back controller is designed. Finally, two simulation examples are presented to show the validity of the proposed method.

CHAOS SYNCHRONIZATION IN THE PRESENCE OF NOISE

2011 ◽  
Vol 22 (12) ◽  
pp. 1409-1418 ◽  
Author(s):  
KUAN-YU CHEN ◽  
PI-CHENG TUNG ◽  
SHIH-LIN LIN ◽  
MONG-TAO TSAI
Keyword(s):  
Feedback Control ◽  
White Noise ◽  
Chaos Synchronization ◽  
State Feedback ◽  
Control Method ◽  
Type System ◽  
Chaotic Signal ◽  
State Feedback Control ◽  
Duffing System ◽  
Feedback Control Method

In this paper, we first develop a systematic procedure of state feedback control, based on a Lur'e-type system, to analyze the synchronization of two chaotic systems in the presence of random white noise. With the aid of the modified independent component analysis (ICA), the real chaotic signal can be extracted from a noisy source where the chaotic signal has been contaminated by random white noise. Hence, a new scheme has been proposed in this paper to combine the modified ICA design and the state feedback control method for achieving chaos synchronization. The synchronization time can be arbitrarily designed to guarantee stability, even if the system's output is corrupted by measuring noise. A Duffing system example is provided to show the effectiveness of the proposed scheme. The new scheme is first used for control systems with measurement noise which can replace the conventional Kalman filter.

Control of the Hopf Bifurcation by a Linear Feedback Control

2015 ◽  
Vol 25 (01) ◽  
pp. 1550006 ◽  
Author(s):  
J. A. López-Renteria ◽  
F. Verduzco ◽  
B. Aguirre-Hernández
Keyword(s):  
Hopf Bifurcation ◽  
Feedback Control ◽  
Nonlinear Systems ◽  
State Feedback ◽  
State Feedback Control ◽  
Linear Feedback ◽  
Linear Feedback Control ◽  
Linear State

In this work, we design a kind of linear state feedback control, via the roots connecting-curve, for a class of nonlinear systems which permits to control the Hopf bifurcation. An illustrative example is given.

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